Genetic algorithms (GAs) have been used in many disciplines to optimize solutions for a
broad range of problems. In the last 20 years, the statistical literature has seen an increase …

Abstract Response Surface Designs (RSDs) are widely used in process or product
optimization studies to explore the input-response relationship. This paper is an attempt to …

Abstract Response Surface Methodology is a combination of experimental designs and
statistical techniques for empirical model building and optimisation which has been applied …

Abstract Design of experiments is a branch of statistics that has been employed in different
areas of knowledge. A particular case of experimental designs is uniform mixture design. A …

We propose and develop a genetic algorithm (GA) for generating D‐optimal designs where
the experimental region is an irregularly shaped polyhedral region. Our approach does not …

The aim of this paper is twofold. First, we introduce 'resource constraints' as a general
concept that covers many practical restrictions on experimental design. Second, to compute …

Exact G-optimal designs have rarely, if ever, been employed in practical applications. One
reason for this is that, due to the computational difficulties involved, no statistical software …

Missing observation is a common problem in scientific and industrial experiments,
particularly in a small-scale experiment. They often present significant challenges when …

Many experiments in research and development of industrial product formulations involve
mixtures of ingredients. These are experiments in which the experimental factors are the …

Among the numerous alphabetical optimality criteria is the IV-criterion that is focused on
prediction variance. We propose a new criterion, called the weighted IV-optimality. It is …